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Bertrand and Cournot Oligopolies

Research Project

Project/Area Number 16530127
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic theory
Research InstitutionGifu Shotoku Gakuen University

Principal Investigator

OKUGUCHI Koji  Gifu Shotoku Gakuen University, Facility of Economics and Information, Professor, 経済情報学部, 教授 (00086977)

Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥700,000 (Direct Cost: ¥700,000)
KeywordsBertrand / Cournot / oligopoly / product differentiation / entry / stability / 費用関数 / エントリー / ベルトラン / クールノー / 均衡 / 複合 / 安定性
Research Abstract

In this research project I have analyzed Bertrand oligopoly with product differentiation and Cournot with or without product differentiation from static as well as dynamic points of view. The results of my research have appeared in the following published or unpublished papers.
1.Stability of Equilibrium in Bertrand and Cournot Oligopolies, International Game Theory Review 6 (2004),381-90. (with T.Yamazaki)
2.Global Stability of Equilibrium in Cournot Oligopoly with Product Differentiation, in G.T.Papanikos(ed.), Competition, Regulation and Protection, Athens,2004,121-26.(with K.Irie and F.Szidarovszky)
3.Changes in Demand Function in Cournot Oligopoly, Pacific Economic Review 10(2005),371-78. (with F.Szidarovszky)
4.Simultaneous and Sequential Price Adjustments in Bertrand Oligopoly, manuscript,2004.
5.Entry in Bertrand Oligopoly, manuscript,2005.
6.Neutrality Theorems on Public Good, Public Bad, and Cournot Oligopoly, manuscript,2005
In 1,the relationship between the stability of Bertrand a … More nd Cournot duopoly equilibria is investigated. In 2,the global stability of Cournot oligopoly equilibrium under product differentiation is proven taking into account a non-negativity condition for the firm's output in the adjustment process. In 3,the effects of changes in demand function are clarified for Cournot oligopoly without product differentiation. In 4,the global stability of Betrand equilibrium is analyzed for two price adjustments system-one simultaneous, the other sequential. It is shown that the stability is ensured for the both systems under the same conditions. In 5,the effects of entry in Bertrand oligopoly are analyzed adapting the Debreu and Scarf method of proof of the equivalence of the core and perfect competitive equilibrium in the limit state of pure exchange model. In 6,the neutrality theorem is proved on aggregate public bad in a generalized model of Shibata. It proves also the neutrality theorem on the equilibrium industry output in Cournot oligopoly without product differentiation and on the voluntary supply of aggregate public good. Less

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (5 results)

All 2005 2004

All Journal Article (5 results)

  • [Journal Article] Changes in Demand Function in Cournot Oligopoly2005

    • Author(s)
      K.Okuguchi, F.Szidarovszky
    • Journal Title

      Pacific Economic Review 10

      Pages: 371-78

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Changes in Demand Function in Cournot Oligopoly2005

    • Author(s)
      Koji Okuguchi
    • Journal Title

      Pacific Economic Review 10

      Pages: 371-378

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The Schur and Samuelson Conditions for Cubic Equation2005

    • Author(s)
      KOJI OKUGUCHI, KAZUYA IRIE
    • Journal Title

      Paul A Samuelson : 2nd Critical Assessments of Contemporrary Economics, Vol, Routledge, U.K, 2004(T.C Wood and M.Mclure(eds))

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stability of Equilibrium in Bertrand and Cournot Duopolies2004

    • Author(s)
      K.Okuguchi, T.Yamazaki
    • Journal Title

      International Game Theory Review 6

      Pages: 381-90

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Stability of Equilibrium in Bertrand and Cournot Duopolies2004

    • Author(s)
      KOJI OKUGUCHI, TAKESHI YAMAZAKI
    • Journal Title

      International Game Theony Review 6・3

      Pages: 10-10

    • Related Report
      2004 Annual Research Report

URL: 

Published: 2004-04-01   Modified: 2016-04-21  

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